18. In Fig. 96. if AB, CD and EFare straight lines, then x+y+z=
(a) 180
(b) 208
(c) 213
D 134
Fig. 96 is given above
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Answered by
9
Step-by-step explanation:
z = 62° + 49° = 111° ( vertically opposite angles are equal)
Now, angel CAD = 180°
(because CD is a line. and lines make 180° angle)
z + 3x = 180°
=> 111° + 3x = 180°
=> 3x = 69°
=> x = 23°
And, 3x = y ( because vertically opposite angles are equal)
=> y = 3x = 3×23° = 69°.
So, x + y + z = 111° + 23° + 69° = 203°
Answered by
2
Answer:
CD is a straight line,
therefore,y+62+49=180
=y+111=180
=y=180-111 = y=69
Same as EF is a straight line,
therefore,3x+49+62=180
=X=23
again CD is a straight line,
therefore,z+3x=180
= z= 111
according to question,
x+y+z=69+23+111
=203
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